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Finding the Third Proportional to 19,384,637,208 and 41,492,355,276

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Solution

The third proportional to 19,384,637,208 and 41,492,355,276 is: 88,813,400,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384,637,208 : 41,492,355,276 = 41,492,355,276 : x
  2. Step 2: Convert to fraction form
    19,384,637,208/41,492,355,276 = 41,492,355,276/x
  3. Step 3: Cross multiply
    19,384,637,208x = 41,492,355,276 × 41,492,355,276
  4. Step 4: Simplify right side
    19,384,637,208x = 1,721,615,546,349,805,109,248
  5. Step 5: Solve for x
    x = 1,721,615,546,349,805,109,248/19,384,637,208
  6. Step 6: Final answer
    x = 88,813,400,419.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.